6. Write down the number that is…
Jennifer is k years old. Clare is 5 years
older than Jennifer and Helen is 7 years
younger.
What is the total of their ages?
7. Write down the number that is…
Jennifer is k years old. Clare is 5 years
older than Jennifer and Helen is 7 years
younger.
What is the total of their ages?
8. Write down the number
that is
Mac’s Building Supplies charges 30 000
Philippine pesos per pallet of house bricks (b),
plus a single delivery
fee of 4 500 Philippine pesos.
Write an algebraic expression to represent this
information and use it to calculate the cost of
buying 4 pallets of bricks from Mac’s.
9. Write down the number
that is
Mac’s Building Supplies charges 30 000
Philippine pesos per pallet of house bricks (b),
plus a single delivery
fee of 4 500 Philippine pesos.
Write an algebraic expression to represent this
information and use it to calculate the cost of
buying 4 pallets of bricks from Mac’s.
10. Lesson Purpose/Intention
We can use what we have learned
in our study of algebra about
algebraic expressions and algebraic
methods to help us solve real-life
problems.
Today, we will use algebraic
expressions and methods to find
the solutions to such problems.
19. Amanda and Michael and their friends Jan and Brian are traveling in Australia.
Amanda and Michael hire a car and a van from Joe’s Hire.-=
Car hire is 100 dollars for each day hired (d), plus a standard fee of 35 dollars for
the hiring period.
Van hire is 140 dollars for each day hired (d), plus a standard fee of 55 dollars for
the hiring period.
Jan and Brian hire a car and a van from Bob’s Hire.
Car hire is 90 dollars for each day hired (d), plus a standard fee of 75 dollars for the
hiring period.
Van hire charges are exactly twice those of hiring a car.
Question
:
Write down an algebraic expression in
terms of d for the cost of hiring a car from
Joe’s.
20. Amanda and Michael and their friends Jan and Brian are traveling in Australia.
Amanda and Michael hire a car and a van from Joe’s Hire.-=
Car hire is 100 dollars for each day hired (d), plus a standard fee of 35 dollars for
the hiring period.
Van hire is 140 dollars for each day hired (d), plus a standard fee of 55 dollars for
the hiring period.
Jan and Brian hire a car and a van from Bob’s Hire.
Car hire is 90 dollars for each day hired (d), plus a standard fee of 75 dollars for the
hiring period.
Van hire charges are exactly twice those of hiring a car.
Question
:
Write down an algebraic expression in
terms of d for the cost of hiring a car from
Joe’s.
Answer: 100d + 35
21. Amanda and Michael and their friends Jan and Brian are traveling in Australia.
Amanda and Michael hire a car and a van from Joe’s Hire.
Car hire is 100 dollars for each day hired (d), plus a standard fee of 35 dollars
for the hiring period.
Van hire is 140 dollars for each day hired (d), plus a standard fee of 55 dollars
for the hiring period.
Jan and Brian hire a car and a van from Bob’s Hire.
Car hire is 90 dollars for each day hired (d), plus a standard fee of 75 dollars for
the hiring period.
Van hire charges are exactly twice those of hiring a car.
Questio
n:
Write down an algebraic expression in terms of d for the
cost of hiring a van from Joe’s.
22. Amanda and Michael and their friends Jan and Brian are traveling in Australia.
Amanda and Michael hire a car and a van from Joe’s Hire.
Car hire is 100 dollars for each day hired (d), plus a standard fee of 35 dollars
for the hiring period.
Van hire is 140 dollars for each day hired (d), plus a standard fee of 55 dollars
for the hiring period.
Jan and Brian hire a car and a van from Bob’s Hire.
Car hire is 90 dollars for each day hired (d), plus a standard fee of 75 dollars for
the hiring period.
Van hire charges are exactly twice those of hiring a car.
Questio
n:
Write down an algebraic expression in terms of d for the
cost of hiring a van from Joe’s.
Answer: 140d + 55
23. Amanda and Michael and their friends Jan and Brian are traveling in Australia.
Amanda and Michael hire a car and a van from Joe’s Hire.
Car hire is 100 dollars for each day hired (d), plus a standard fee of 35 dollars for
the hiring period.
Van hire is 140 dollars for each day hired (d), plus a standard fee of 55 dollars for
the hiring period.
Jan and Brian hire a car and a van from Bob’s Hire.
Car hire is 90 dollars for each day hired (d), plus a standard fee of 75 dollars for the
hiring period.
Van hire charges are exactly twice those of hiring a car.
Questio
n:
Write down an algebraic expression in terms
of d for the cost of hiring a car from Bob’s.
24. Amanda and Michael and their friends Jan and Brian are traveling in Australia.
Amanda and Michael hire a car and a van from Joe’s Hire.
Car hire is 100 dollars for each day hired (d), plus a standard fee of 35 dollars for
the hiring period.
Van hire is 140 dollars for each day hired (d), plus a standard fee of 55 dollars for
the hiring period.
Jan and Brian hire a car and a van from Bob’s Hire.
Car hire is 90 dollars for each day hired (d), plus a standard fee of 75 dollars for the
hiring period.
Van hire charges are exactly twice those of hiring a car.
Questio
n:
Write down an algebraic expression in terms
of d for the cost of hiring a car from Bob’s.
Answer: 90d + 75
25. Amanda and Michael and their friends Jan and Brian are traveling in
Australia.
Amanda and Michael hire a car and a van from Joe’s Hire.
Car hire is 100 dollars for each day hired (d), plus a standard fee of 35 dollars
for the hiring period.
Van hire is 140 dollars for each day hired (d), plus a standard fee of 55 dollars
for the hiring period.
Jan and Brian hire a car and a van from Bob’s Hire.
Car hire is 90 dollars for each day hired (d), plus a standard fee of 75 dollars
for the hiring period.
Van hire charges are exactly twice those of hiring a car.
Questio
n:
Write down an algebraic expression in
terms of d for the cost of hiring a van from
Bob’s.
26. Amanda and Michael and their friends Jan and Brian are traveling in
Australia.
Amanda and Michael hire a car and a van from Joe’s Hire.
Car hire is 100 dollars for each day hired (d), plus a standard fee of 35 dollars
for the hiring period.
Van hire is 140 dollars for each day hired (d), plus a standard fee of 55 dollars
for the hiring period.
Jan and Brian hire a car and a van from Bob’s Hire.
Car hire is 90 dollars for each day hired (d), plus a standard fee of 75 dollars
for the hiring period.
Van hire charges are exactly twice those of hiring a car.
Questio
n:
Write down an algebraic expression in
terms of d for the cost of hiring a van from
Bob’s.
Answer: 180d + 150
27. Conclusion – Reflection/Metacognition on
Student Goals
The teacher facilitates student reflection and discussion that addresses such questions
as:
⮚ What do you think were the key mathematical concepts addressed in this lesson?
⮚ Would you rate your level of understanding of the material covered in this lesson
as high, moderate, or low?
⮚ Has the lesson helped you gain further insight into aspects of the material covered
that represent strengths or represent weaknesses?
⮚ What would you describe as the main barriers, if any, to your ongoing progress
and achievement in relation to the topic area addressed in this lesson?
⮚ What do you think would best assist your ongoing progress and achievement in
relation to the topic area?
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